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Finding the Fourth Proportional to 105,116.60, 157,790.10 and 65,718.20

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Solution

The fourth proportional to 105,116.60, 157,790.10 and 65,718.20 is: 98,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,116.60 : 157,790.10 = 65,718.20 : x
  2. Step 2: Convert to fraction form
    105,116.60/157,790.10 = 65,718.20/x
  3. Step 3: Cross multiply
    105,116.60x = 157,790.10 × 65,718.20
  4. Step 4: Simplify right side
    105,116.60x = 10,369,681,349.82
  5. Step 5: Solve for x
    x = 10,369,681,349.82/105,116.60
  6. Step 6: Final answer
    x = 98,649.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.